. Find the value of x for which ABCD must be a parallelogram.
1 answer:
The value of x that would make ABCD a parallelogram is x = 5
<h3>How to find the interior angle of a parallelograms?</h3>A parallelogram, opposite sides are equal and parallel, which means opposite interior angles are equal.
Opposite sides of a parallelogram are congruent and parallel
Therefore,
5x - 3 = 14x - 48
subtract 5x from both sides
5x - 5x - 3 = 14x - 5x - 48
-3 = 9x - 48
add 48 to both sides
-3 + 48 = 9x - 48 + 48
45 = 9x
x = 45 / 9
x = 5
Therefore, the value of x that would make ABCD a parallelogram is x = 5
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Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.
Step-by-step explanation:
Let,
Weight of one large bead = x
Weight of one small bead = y
According to given statement;
12x+8y=88 Eqn 1
5x+2y=25 Eqn 2
Multiplying Eqn 2 by 4
Subtracting Eqn 1 from Eqn 3
Dividing both sides by 8
Putting x=1.5 in Eqn 1
Dividing both sides by 8
Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.
Keywords: linear equation, elimination method
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